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22-28 July 2018
Kellogg Hotel and Conference Center
EST timezone

A linked cluster expansion for the Functional Renormalization Group of the Legendre effective action.

Jul 27, 2018, 5:30 PM
20m
104 (Kellogg Hotel and Conference Center)

104

Kellogg Hotel and Conference Center

219 S Harrison Rd, East Lansing, MI 48824
Theoretical Developments Theoretical Developments

Speaker

Mr Rudrajit Banerjee (Department of Physics and Astronomy, University of Pittsburgh)

Description

A lattice version of the widely used Functional Renormalization Group (FRG) for the Legendre effective action is solved (exactly) in terms of a linked cluster expansion. The graph rules invoke only one-line irreducible and a new type of labeled tree graphs. Conversely, the FRG induces nonlinear flow equations governing suitable resummations of the graph expansion. The correspondence is tested on the critical line of the Luscher-Weisz solution of the phi^4 theory. An extension to QFTs on curved spacetimes with flat spatial sections is feasible.

Primary author

Mr Rudrajit Banerjee (Department of Physics and Astronomy, University of Pittsburgh)

Co-author

Dr Max Niedermaier (Department of Physics and Astronomy, University of Pittsburgh)

Presentation Materials